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Finding the Fourth Proportional to 41,430, 57,178.80 and 24,663

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Solution

The fourth proportional to 41,430, 57,178.80 and 24,663 is: 34,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,430 : 57,178.80 = 24,663 : x
  2. Step 2: Convert to fraction form
    41,430/57,178.80 = 24,663/x
  3. Step 3: Cross multiply
    41,430x = 57,178.80 × 24,663
  4. Step 4: Simplify right side
    41,430x = 1,410,200,744.40
  5. Step 5: Solve for x
    x = 1,410,200,744.40/41,430
  6. Step 6: Final answer
    x = 34,038.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.